Greatest Common Factor of 67/15, 398/88, 923/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/15, 398/88, 923/897

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 67/15,398/88,923/897

Given fractions are 67/15,398/88,923/897

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 67,398,923

Greatest Common Factor of Numerators i.e. GCF of 67,398,923 is 1 .

LCM of Denominators means LCM of 15,88,897 as per the given fractions.

LCM of 15,88,897 is 394680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,398,923

GCF of Fractions 67/15,398/88,923/897 is 1/394680

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 67,398,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,398,923 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 67,398,923 . The biggest common factor number is the GCF number.
So the greatest common factor 67,398,923 is 1.

Lets's calculate LCM of 15,88,897

3 15, 88, 897
5, 88, 299

∴ So the LCM of the given numbers is 3 x 5 x 88 x 299 = 394680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/394680

Therefore, the GCF of Fractions 67/15,398/88,923/897 is 1/394680

Least Common Multiple of 15,88,897 with GCF Formula

Least Common Multiple of 15,88,897 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 15,88,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,88,897) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(15,88,897) x common factors =1 x 3 = 3

LCM(15,88,897) = ( 15 × 88 × 897 ) / 3

LCM(15,88,897) = 1184040 / 3

LCM(15,88,897) = 394680


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 67/15, 398/88, 923/897

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 67/15, 398/88, 923/897?

Answer: GCF of Numerators as per given numbers 67/15, 398/88, 923/897 is

GCF of Numerators i.e. for 67,398,923 is 1

LCM of denominators i.e. for 15,88,897 is 394680.

Thus, GCF of Fractions is 1/394680.Finally, GCF of Fractions for 67/15, 398/88, 923/897 is 1/394680.